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Finding the Fourth Proportional to 14,930.52, 22,399.02 and 4,542

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Solution

The fourth proportional to 14,930.52, 22,399.02 and 4,542 is: 6,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.52 : 22,399.02 = 4,542 : x
  2. Step 2: Convert to fraction form
    14,930.52/22,399.02 = 4,542/x
  3. Step 3: Cross multiply
    14,930.52x = 22,399.02 × 4,542
  4. Step 4: Simplify right side
    14,930.52x = 101,736,348.84
  5. Step 5: Solve for x
    x = 101,736,348.84/14,930.52
  6. Step 6: Final answer
    x = 6,813.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.